语言真值直觉模糊命题逻辑系统的推理规则

计算机工程与应用 ›› 2011, Vol. 47 ›› Issue (33): 62-64.

语言真值直觉模糊命题逻辑系统的推理规则

刘德山1，殷明娥2，邹丽1

1.辽宁师范大学计算机与信息技术学院，辽宁大连 116029
2.辽宁师范大学数学学院，辽宁大连 116029

收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2011-11-21 发布日期:2011-11-21

Reasoning rules of linguistic truth-valued intuitionistic fuzzy propositional logic system

LIU Deshan1，YIN Ming’e2，ZOU Li1

1.School of Computer and Information Technology，Liaoning Normal University，Dalian，Liaoning 116029，China
2.School of Mathematics，Liaoning Normal University，Dalian，Liaoning 116029，China

Received:1900-01-01 Revised:1900-01-01 Online:2011-11-21 Published:2011-11-21

摘要/Abstract

摘要： 提出了一种基于语言真值直觉模糊代数的直觉模糊命题逻辑系统。基于语言真值格蕴涵代数生成语言真值直觉模糊代数，可同时处理具有可比性或不可比性信息。该方法可以同时处理不确定性问题的正面证据和反面证据。研究了语言真值直觉模糊命题逻辑系统LP（S）的性质，得到了其公理及推理规则，也获得了LP（S）中的证明与定理。实例说明，该方法在处理同时具有可比性和不可比性的直觉模糊决策问题中更灵活、更有效。

关键词: 语言真值, 直觉模糊命题, 不确定性推理

Abstract: A kind of intuitionistic fuzzy logic system LP（S） based on linguistic truth-valued intuitionistic fuzzy algebra is proposed.The linguistic truth-valued intuitionistic fuzzy algebra comes from the linguistic truth-valued implication algebra which is fit to express both comparable and incomparable information.The method can deal with the uncertain problem which has both positive evidence and negative evidence at the same time.Some axioms and reasoning rules of LP（S） are discussed.The proofs and theorems are also obtained.An illustration example of intuitionistic fuzzy decision making shows that the method is more flexible and effective for the decision making problem.

Key words: linguistic truth-value, intuitionistic fuzzy proposition, uncertainty reasoning

刘德山1，殷明娥2，邹丽1. 语言真值直觉模糊命题逻辑系统的推理规则[J]. 计算机工程与应用, 2011, 47(33): 62-64.

LIU Deshan1，YIN Ming’e2，ZOU Li1. Reasoning rules of linguistic truth-valued intuitionistic fuzzy propositional logic system[J]. Computer Engineering and Applications, 2011, 47(33): 62-64.

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